Black holes and closed trapped surfaces: a revision of a classic theorem
Abstract
Description
It is standard assertion in relativity that, subject to an energy condition and the cosmic censorship hypothesis, closed trapped surfaces are not visible from future null infinity. A proof given by Hawking & Ellis in ''The Large Scale Structure of Space-Time'' is flawed since it is formulated in terms of an inadequate definition of a weakly asymptotically simple and empty space-time. A new proof is given based on a more restrictive definition of a weakly asymptotically simple and empty space-time.
15 pages, 4 figures. Uses the following packages: amsmath,amsthm, amssymb, amsfonts, mathrsfs, enumerate, graphicx
15 pages, 4 figures. Uses the following packages: amsmath,amsthm, amssymb, amsfonts, mathrsfs, enumerate, graphicx